What is the Least Common Multiple of 90342 and 90360?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 90342 and 90360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90342 and 90360, than apply into the LCM equation.

GCF(90342,90360) = 18
LCM(90342,90360) = ( 90342 × 90360) / 18
LCM(90342,90360) = 8163303120 / 18
LCM(90342,90360) = 453516840

Least Common Multiple (LCM) of 90342 and 90360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90342 and 90360. First we will calculate the prime factors of 90342 and 90360.

Prime Factorization of 90342

Prime Factorization of 90360

Now multiplying the highest exponent prime factors to calculate the LCM of 90342 and 90360.

LCM(90342,90360) = 2³ × 3³ × 7¹ × 239¹ × 5¹ × 251¹
LCM(90342,90360) = 453516840